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  • Question
  • Four dice are thrown simultaneously. Find the probability that two of them show the same face and remaining two show the different faces.


  • Options
  • A. 4/9
  • B. 5/9
  • C. 11/18
  • D. 7/9

  • Correct Answer
  • 5/9 

    Explanation

    Select a number which ocurs on two dice out of six numbers (1, 2, 3, 4, 5, 6). This can be done in  C 1 6 , ways.

     

    Now select two distinct number out of remaining 5 numbers which can be done in  C 2 5  ways. Thus these 4 numbers can be arranged in 4!/2! ways.

     

    So, the number of ways in which two dice show the same face and the remaining two show different faces is 

      C 1 6 × C 2 5 × 4 ! 2 ! = 720

     =>  n(E) = 720

      ? P E = 720 6 4 = 5 9


  • More questions

    • 1. 
      198.995 x 12.005 + 16.25 x 6.95 =?

    • Options
    • A. 2580
    • B. 2550
    • C. 2400
    • D. 2500
    • Discuss
    • 2. 
      The face value of 8 in the numeral 458926 is?

    • Options
    • A. 8000
    • B. 8
    • C. 1000
    • D. 458000
    • Discuss
    • 3. 
      6, 9, 15, 21, 24, 28, 30?

    • Options
    • A. 25
    • B. 21
    • C. 24
    • D. 30
    • Discuss
    • 4. 
      6674 x 625 =?

    • Options
    • A. 4170160
    • B. 4072360
    • C. 4171050
    • D. 4171250
    • Discuss
    • 5. 
      If ax + by = 6, bx ? ay = 2 and x 2 + y 2 = 4, then the value of ( a 2 + b 2) would be :

    • Options
    • A. 10
    • B. 2
    • C. 4
    • D. 5
    • Discuss
    • 6. 
      What if the probability of getting a king or a queen in a single drawn from a pack of 52 cards?

    • Options
    • A. 1/26
    • B. 1/13
    • C. 2/13
    • D. None of these
    • Discuss
    • 7. 
      Find the 4th proportional to 4 , 16 and 7 ,

    • Options
    • A. 28
    • B. 29
    • C. 22
    • D. 25
    • Discuss
    • 8. 
      Raj sold an item for ? 6384 and incurred a loss of 30%. At what price should he have sold the item to have gained a profit of 30%

    • Options
    • A. ? 14656
    • B. ? 11856
    • C. ? 13544
    • D. cannot be determind
    • Discuss
    • 9. 
      (2/3) x (6/8) x (2/3) x (3/4) =?

    • Options
    • A. 0.25
    • B. 0.5
    • C. 1.45
    • D. 11.8
    • Discuss
    • 10. 
      The HCF and LCM of two natural numbers are 12 and 72, respectively. What is the difference between the two numbers, if one of the number is 24?

    • Options
    • A. 12
    • B. 18
    • C. 21
    • D. 24
    • Discuss


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